If Jared knows that he himself is a pedophile, then he's likely to think there are a lot of other pedophiles around — just as the guy who cheats on his taxes thinks that everyone does it (or is a fool not to). He's busily hiding his condition from his wife, so he's well acquainted with all the sneaky tricks that pedophiles use to do that.

He's also possibly into an ideology that says "all men are really pedophiles, and it's unjust anti-male oppression that they're not allowed to molest all the kids they want". So he's up for defending other pedophiles who are also into his ideology, while also using the social trick of "accusing other people of being pedophiles" to get his way politically.

He thinks this is clever. It turns out that the FBI has heard of it before, though.